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Finding the Fourth Proportional to 892.62, 1,338.42 and 344.58

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Solution

The fourth proportional to 892.62, 1,338.42 and 344.58 is: 516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.62 : 1,338.42 = 344.58 : x
  2. Step 2: Convert to fraction form
    892.62/1,338.42 = 344.58/x
  3. Step 3: Cross multiply
    892.62x = 1,338.42 × 344.58
  4. Step 4: Simplify right side
    892.62x = 461,192.76
  5. Step 5: Solve for x
    x = 461,192.76/892.62
  6. Step 6: Final answer
    x = 516.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.